MacDonald functions

MacDonald functions

[mək′dän·əld ‚fəŋk·shənz]
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Writing for graduate students and non-specialist mathematicians, he explores such aspects as some tableau combinatorics, invariant theory, Schur and quasi-symmetric functions, communitative algebra, Macdonald functions, and coinvariant-like spaces.
Let us define as in [12, VI.7], the skew Macdonald functions [Q.sub.[lambda]/[mu]] by
Inequalities for the MacDonald functions [K.sub.i[beta]](x), Re[K.sub.1/2 + i[beta]](x) and Im[K.sub.1/2 + i[beta]](x).
where [K.sub.v] (x) is the modified Bessel function of the second kind (also called MacDonald function).